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arXiv 0905.4859nucl-thhep-ph
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核介质中D和D ~* 介子的性质

The properties of D and D* mesons in the nuclear medium

L. Tolos, C. Garcia-Recio, J. Nieves

摘要:

本文采用实现重夸克对称性的同时自洽耦合道幺正方法研究了核物质中$D$和$D^*$介子的性质。介质中的解决方案占泡利阻塞效应,并为$D$和$D^*$自能在一个自洽的方式。我们特别注意在通常的截止方案之外的介质中的中间传播子的重整化。我们分析了C=1和S=0扇区中动力学产生的重子共振的丰富谱在核介质中的行为,以及它们对自能的影响,从而分析了$D$和$D^*$介子的谱函数。$D$介子准粒子峰与$Σ_c(2823)N^{-1}$和$Σ_c(2868)N^{-1}$态混合,而$Λ_c(2595)N^{-1}$模出现在谱函数的低能尾部. $D^*$谱函数包含了$J=3/2$共振,$Σ_c(2902)N^{-1}$和$Λ_c(2941)N^{-1}$完全决定了$D^*$介子谱函数在准粒子峰处的行为.随着密度的增加,这些共振空穴模式趋于模糊,光谱函数变宽。我们还得到了$D$和$D^*$的散射长度,和光学势为不同的密度制度。当密度增加到正常核物质密度的两倍时,$D$介子势保持吸引力,而$D^*$介子势是排斥力。与以前的介质中SU(4)模型相比,我们得到的$D$介子势的实部近似,虚部小得多。这一结果对观测$D^0$ -核束缚态具有重要意义。

英文摘要:

We study the properties of $D$ and $D^*$ mesons in nuclear matter within a simultaneous self-consistent coupled-channel unitary approach that implements heavy-quark symmetry. The in-medium solution accounts for Pauli blocking effects, and for the $D$ and $D^*$ self-energies in a self-consistent manner. We pay a special attention to the renormalization of the intermediate propagators in the medium beyond the usual cutoff scheme. We analyze the behavior in the nuclear medium of the rich spectrum of dynamically-generated baryonic resonances in the C=1 and S=0 sector, and their influence in the self-energy and, hence, the spectral function of the $D$ and $D^*$ mesons. The $D$ meson quasiparticle peak mixes with $Σ_c(2823)N^{-1}$ and $Σ_c(2868)N^{-1}$ states while the $Λ_c(2595)N^{-1}$ mode is present in the low-energy tail of the spectral function. The $D^*$ spectral function incorporates $J=3/2$ resonances, and $Σ_c(2902)N^{-1}$ and $Λ_c(2941)N^{-1}$ fully determine the behavior of $D^*$ meson spectral function at the quasiparticle peak. As density increases, these resonant-hole modes tend to smear out and the spectral functions get broad. We also obtain the $D$ and $D^*$ scattering lengths, and optical potentials for different density regimes. The $D$ meson potential stays attractive while the $D^*$ meson one is repulsive with increasing densities up to twice that of the normal nuclear matter. Compared to previous in-medium SU(4) models, we obtain similar values for the real part of the $D$ meson potential but much smaller imaginary parts. This result can have important implications for the observation of $D^0$-nucleus bound states.

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